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3+\frac{9\times 2}{4}
Express \frac{9}{4}\times 2 as a single fraction.
3+\frac{18}{4}
Multiply 9 and 2 to get 18.
3+\frac{9}{2}
Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.
\frac{6}{2}+\frac{9}{2}
Convert 3 to fraction \frac{6}{2}.
\frac{6+9}{2}
Since \frac{6}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.
\frac{15}{2}
Add 6 and 9 to get 15.